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math.DS2024
Dynamical characterization of central sets in adequate partial semigroups
Pintu Debnath, Sayan Goswami, Sourav Kanti Patra
Using the methods from topological dynamics, H. Furstenberg introduced the notions of Central sets and proved the famous Central Sets Theorem which is the simultaneous extension of…
math.DS2014
Large Sets in Countable Amenable Group and its Applications
Dibyendu De, Pintu Debnath
In the present paper our main objective is to extend the notion of -sets in countable amenable groups and to discuss its connection with weak mixing for amenable group actions.…